9
QuizMultiple Choice

Polynomial Expressions — Test

Question 9 • Algebra 1

Factor negative 7 x cubed plus 21 x squared plus 3 x minus 9 by grouping. What is the resulting expression?

Answer
A
open paren 7 x minus 3 close paren times open paren 3 plus x squared close paren
B
open paren 7 x squared minus 3 close paren times open paren 3 plus x close paren
C
open paren 3 minus 7 x squared close paren times open paren x minus 3 close paren
D
open paren 3 minus 7 x close paren times open paren x squared minus 3 close paren

Explanation

Group the terms in pairs: (−7x³ + 21x²) + (3x − 9). Factoring each pair gives −7x²(x − 3) + 3(x − 3), so the common factor is (x − 3). The result is (3 − 7x²)(x − 3), which is choice C.

AI-written and checked against the verified answer.

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